Math Problem Statement

Evaluate the function below at x=7 put your answer in function notation

Evaluate the function below at x=7 put your answer in function notation

Solution

The given function is:

f(x)=10x6f(x) = -10x - 6

To evaluate f(7)f(7), substitute x=7x = 7 into the function:

f(7)=10(7)6f(7) = -10(7) - 6

=706= -70 - 6

=76= -76

Thus, the final answer in function notation is:

f(7)=76f(7) = -76

Would you like a step-by-step explanation of the substitution?

Here are five related questions to expand your understanding:

  1. What is the general form of a linear function?
  2. How do you determine the slope of a linear function?
  3. How do you interpret the y-intercept in a function?
  4. How would you find f(3)f(-3) using the same function?
  5. What happens when the coefficient of xx is positive instead of negative?

Tip: Always substitute values carefully and follow the order of operations (PEMDAS) to avoid calculation mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Notation

Formulas

f(x) = ax + b
Substituting x into f(x): f(a) = -10(a) - 6

Theorems

Linear Function Evaluation

Suitable Grade Level

Grades 7-9